document.write( "Question 111433: Find the slope and y-intercept.
\n" ); document.write( " –2x + 3y = 21
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #81262 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "

Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)

Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)

$\"-2x%2B3y=21\"$ Start with the given equation

$\"-2x%2B3y%2B2x=21%2B2x\"$ Add 2x to both sides

$\"3y=2x%2B21\"$ Simplify

$\"%283y%29%2F%283%29=%282x%2B21%29%2F%283%29\"$ Divide both sides by 3 to isolate y

$\"y+=+%282x%29%2F%283%29%2B%2821%29%2F%283%29\"$ Break up the fraction on the right hand side

$\"y+=+%282%2F3%29x%2B7\"$ Reduce and simplify

The original equation $\"-2x%2B3y=21\"$ (standard form) is equivalent to $\"y+=+%282%2F3%29x%2B7\"$ (slope-intercept form)

The equation $\"y+=+%282%2F3%29x%2B7\"$ is in the form $\"y=mx%2Bb\"$ where $\"m=2%2F3\"$ is the slope and $\"b=7\"$ is the y intercept.

\n" ); document.write( " \n" ); document.write( "

\n" );